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Solve for t
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\frac{5}{3}+t=\frac{2}{3}
Swap sides so that all variable terms are on the left hand side.
t=\frac{2}{3}-\frac{5}{3}
Subtract \frac{5}{3} from both sides.
t=\frac{2-5}{3}
Since \frac{2}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.
t=\frac{-3}{3}
Subtract 5 from 2 to get -3.
t=-1
Divide -3 by 3 to get -1.